Scaling Property of Period-n-Tupling Sequences in One-Dimensional Mappings
Zeng Wan-zhen, Bailin Hao, Wang Guang-Rui, Shigang Chen · Communications in Theoretical Physics · 1984
We calculated the universal scaling function and the scaling factor as well as the convergence rate for periodtripling, -quadrapling and–quintupling sequences of and types. The superstable periods are closely connected to a set of polynomial defined recursively by the original mapping. Some notable properties of these polynomials are studied. Several approaches to solving the renormalization group equation and estimating the scaling factors are suggested.